To use this decimal to binary converter tool, you should type a decimal value like 308 into the left field below, and then hit the Convert button. This way you can convert up to 19 decimal characters (max. value of 9223372036854775807) to binary value.

The decimal numeral system is the most commonly used and the standard system in daily life. It uses the number 10 as its base (radix). Therefore, it has 10 symbols: The numbers from 0 to 9; namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

As one of the oldest known numeral systems, the decimal numeral system has been used by many ancient civilizations. The difficulty of representing very large numbers in the decimal system was overcome by the Hindu–Arabic numeral system. The Hindu-Arabic numeral system gives positions to the digits in a number and this method works by using powers of the base 10; digits are raised to the nth power, in accordance with their position.

For instance, take the number 2345.67 in the decimal system:

The binary numeral system uses the number 2 as its base (radix). As a base-2 numeral system, it consists of only two numbers: 0 and 1. 

While it has been applied in ancient Egypt, China and India for different purposes, the binary system has become the language of electronics and computers in the modern world. This is the most efficient system to detect an electric signal’s off (0) and on (1) state. It is also the basis for binary code that is used to compose data in computer-based machines. Even the digital text that you are reading right now consists of binary numbers.

Reading a binary number is easier than it looks: This is a positional system; therefore, every digit in a binary number is raised to the powers of 2, starting from the rightmost with 20. In the binary system, each binary digit refers to 1 bit.

Please I need the format for converting decimal fractions to binary mode. Example 0.625(dec) = 0.101(bin).

Good rating good luck using this! I would like to translate words to binary 8/9

Thank you very much, very fast

With regards to the 128, 64, 32, 16,8, 4 2, 1 How does this work with larger numbers that exceed this pattern

Amazing what a understanding Thanks for giving such information like that now I can easily convert binary Language Thanks alot

thanks now i acan cheat in online zoom exams

You can convert decimals too! Woo-hoo! Thanks, Guest!

Things made really easy

Thise website is really amazing and mind-blowing very helpful for students

This is great! Now it handles numbers beyond the max number! The only disadvantage is that one googol (10^100 or ≈000100100100100110101101001001011001010011000011011111001110101100001011001001111000010011000100110011100000101111110011100010101100111001000000100011100010000100011010011111001010101010110010010000110000100010101000001011101000111100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) has an insane 336 characters! Rating: 9/10

excellent tool

PERFECT CONVERSION I RATE IT 10/10 IT IS VERY FAST

thanks so much so helpful for school

Excellent work !

Good app

it is a very good application

well done very easy to learn this

First result on google (search : "dec -> bin") Quick and easy Helped me convert my 4 bit pc instruction set Made my first program : prints 2 to the display lol

22.246 converts to xxx in binary. Break the operation into two parts: Left side of decimal and Right side of decimal. Convert 22 into Binary by dividing by 2 and noting if there is a remainder, if so, write a 1; otherwise write a 0. Read the remainders from bottom to top. To convert the Right side, multiply by 2. Any value > 1, write a 1; otherwise write a 0 and multiply that by 2.

can you explain how to convert 22.246 into decimal

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